What is the Greatest Common Factor of 586 and 604?

Greatest common factor (GCF) of 586 and 604 is 2.

GCF(586,604) = 2

We will now calculate the prime factors of 586 and 604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 586 and 604.

How to find the GCF of 586 and 604?

We will first find the prime factorization of 586 and 604. After we will calculate the factors of 586 and 604 and find the biggest common factor number .

Step-1: Prime Factorization of 586

Prime factors of 586 are 2, 293. Prime factorization of 586 in exponential form is:

586 = 2¹ × 293¹

Step-2: Prime Factorization of 604

Prime factors of 604 are 2, 151. Prime factorization of 604 in exponential form is:

604 = 2² × 151¹

Step-3: Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1, 2, 293

Step-4: Factors of 604

List of positive integer factors of 604 that divides 586 without a remainder.

1, 2, 4, 151, 302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 586 and 604. The biggest common factor number is the GCF number.
So the greatest common factor 586 and 604 is 2.

Also check out the Least Common Multiple of 586 and 604